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Measurement and Analysis of Atomic Hydrogen and Diatomic Molecular AlO, C2, CN, and TiO Spectra Following Laser-induced Optical Breakdown

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Continuous symmetry breaking in a two-dimensional Rydberg array.

Cheng Chen¹, Guillaume Bornet¹, Marcus Bintz²

¹Institute of Optics Graduate School, CNRS, Charles Fabry Laboratory, University of Paris-Saclay, Palaiseau Cedex, France.

|February 27, 2023

Summary

This summary is machine-generated.

Researchers created a quantum simulator to study continuous symmetry breaking in a two-dimensional dipolar XY model. They observed long-range magnetic order in the ferromagnetic phase, a key finding for understanding quantum matter.

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Area of Science:

Quantum Simulation
Condensed Matter Physics
Statistical Mechanics

Background:

Spontaneous symmetry breaking is fundamental to classifying phases of matter and transitions.
Continuous symmetry breaking, unlike discrete, leads to gapless Goldstone modes influencing phase stability.
Previous quantum simulations focused on discrete symmetries (Ising models).

Purpose of the Study:

To realize and investigate a two-dimensional dipolar XY model with continuous spin-rotational symmetry.
To explore the many-body physics of XY interactions using a programmable Rydberg quantum simulator.
To demonstrate the preparation of low-temperature correlated states and characterize emergent order.

Main Methods:

Utilizing a programmable Rydberg quantum simulator.
Implementing adiabatic state preparation techniques.
Characterizing magnetic order and emergent phenomena in the simulated system.

Main Results:

Successfully realized a two-dimensional dipolar XY model.
Demonstrated adiabatic preparation of correlated low-temperature ferromagnetic and antiferromagnetic states.
Characterized long-range XY order in the ferromagnetic phase, enabled by dipolar interactions.

Conclusions:

The study successfully simulates continuous symmetry breaking in a quantum system.
The findings highlight the role of dipolar interactions in stabilizing long-range order in XY models.
This work complements previous simulations of discrete symmetry breaking and opens new avenues for quantum simulation research.